A population has a mean 81 and a standard deviation of 29. Find the mean and standard deviation of a sampling distribution of sample means with sample size n =265

Answer:

5600

Step-by-step explanation:

160000 x 0.035= 5600

About 5 employees have ages that are older than 54 years.

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.

25% are older than 54 years, hence:

Employers older than 54 years = 25% of 23 employees = 5.75

About 5 employees have ages that are older than 54 years.

Find out more on box plot at: https://brainly.com/question/14277132

Answer:

5 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠E = m∠H

( 3x - 20 )° = ( x + 15 )°

3x - 20 = x + 15

3x - x = 15 + 20

2x = 35

x = 17.5

m∠H = 3(17.5) - 20 = 32.5 °

Answer: 10

Step-by-step explanation:

Answer:

B--- 12 b (5 a minus 6)

Step-by-step explanation:

i took the quiz (edge 2021)

Answer:

ya no

Step-by-step explanation:

Answer:

Step-by-step explanation:

are you showing the entire question because that actually makes no sense

Answer:

-4 integral and 2 prime number

Answer:

A.

Step-by-step explanation:

Answer:

Both A and B are true,

Step-by-step explanation:

The median of set A equals the median of set B.

The mean of set A equals the mean of set B.

Answer:

62.8

Step-by-step explanation:

So, keep in mind that the area of a triangle is equivalent to: 1/2(b)(h) with b being your base and h being your height.

We have our base: 10, and our angle: 105. Now we need to find our height. You don't just have to look at a triangle the way that it's oriented in the problem. Rotate it so that 10cm is at the bottom, and it will be much easier.

From there, you can create a right triangle and draw a line from the top of the triangle straight to the base. Then, you have a right triangle, where you can solve the height, and then plug your answer into the area formula. Further steps are detailed in the picture.

Answer:

23.4units

Step-by-step explanation:

√(22)²+(8)²

√484+64

√548

23.4

Answer: 10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

True, the three sides will form exactly one unique triangle.

A triangle is three dimensional shape, whose third length is less than the sum of the first and second length.

(b - a) < k < (b + a)

(6.3 - 5.2 ) < k (6.3  + 5.2 )

1.1 units < k < 11.5 units

The third length = 10.5 units which is greater than 1.1 units and less than 11.5 units.

Thus, the three sides will form exactly one unique triangle.

Learn more about conditions of a triangle here: https://brainly.com/question/22674890

Answer:

Disagree because the slopes are different.

Step-by-step explanation:

When an equation is in y=mx+b form, answering these kinds of questions becomes easier. "M" is your slope, so if m for both equations match, then your lines will be parallel. This one shows the first equation as 2/1, so you would rise 2 and run 1. but the second is 2.5 or 5/2, so you would rise 5 and run 2. rise meaning y-axis and run being the x-axis. Whenever possible, I turn equations to the y=mx+b form because it makes everything a bit clearer, in my opinion.

Answer:

The value of g(f(0)) is 36

Step-by-step explanation:

g(f(x)) is a composite function, where f(x) is the value of x in g(x), which means substitute x in g(x) by f(x)

Let us use this rule to solve our question

∵ f(x) = -x + 9

∵ g(x) = x² - 6x + 9

→ Substitute x in g by f

∵g(f(x)) = g(-x + 9)

∴ g(f(x)) = (-x + 9)² - 6(-x + 9) + 9

→ Let us simplify it

∵ (-x + 9)² = (-x)(-x) + (-x)(9) + (9)(-x) + (9)(9)

∴ (-x + 9)² = x² + -9x + -9x + 81

→ Add the like terms (-9x + -9x)

∴ (-x + 9)² = x² + -18x + 81

→ Remember (+)(-) = (-)

∴ (-x + 9)² = x² - 18x + 81

∵ - 6(-x + 9) = -6(-x) + (-6)(9)

∴ - 6(-x + 9) = 6x + -54

∴ - 6(-x + 9) = 6x - 54

→ Substitute them in g(f(x))

∴ g(f(x)) = x² - 18x + 81 + 6x - 54 + 9

→ Add the like terms

∴ g(f(x)) = x² + (-18x + 6x) + (81 -54 + 9)

∴ g(f(x)) = x² + (-12x) + (36)

∴ g(f(x)) = x² - 12x + 36

→ Now substitute x by 0

∴ g(f(0)) = (0)² - 12(0) + 36

∴ g(f(0)) = 0 - 0 + 36

∴ g(f(0)) = 36

There is an easy way to find it quickly

Substitute x in f by 0

f(0) = -(0) + 9

f(0) = 9

Substitute x in g by 9

Find g(9)

g(9) = (9)² - 6(9) + 9

g(9) = 81 - 54 + 9

g(9) = 36

Answer:

I'm sorry I don't know how to do this but when I do i'll tell u :)

Step-by-step explanation:

Answer:

third quadrant

Step-by-step explanation:

Under a clockwise rotation about the origin of 180°

a point in the first quadrant ( x, y ) → (- x, - y ) ← in the third quadrant

Answer:

x + x + x

Step-by-step explanation:

x + 3 can't be combined as they are two different terms

x + x + x = 3x (works)

x + x² can't be combined as they have different exponents

2x + 1 can't be combined as they are two different terms

Answer:

582 ft²

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Surface area = (5 x 15) + 2(15 x 8) + 2(5 x 8) + (15 - 11) x 5 + 2(1/2 x 11 x 7) + 2(9 x 5)

                      = 75 + 240 + 80 + 20 + 77 + 90

                      = 582 ft²

Answer: 582 ft

Step-by-step explanation: i took the test

Answer:

Use long division to get the answer of 78.75

Step-by-step explanation:

long division ends with this answer, ➗

Answer:

169 cm or 1.69 m

Step-by-step explanation:

the area of the square=length of any side^2

Multiply the number outside the parentheses by each number inside.

Remember a negative x a negative becomes positive. A negative x a positive is negative.

The correct one is 9(-7 + 6) = 9(-7) + 9(6)

Answer:

The correct one would be 9(-7 + 6) = 9(-7) + 9(6)

Step-by-step explanation:

Answer:

35.5?

Step-by-step explanation:

I am not 100 % but this is the answer I got

Answer:

because the when you multiply that the fraction answer is 2/2 or just simply 1

Step-by-step explanation:

2 1 2

— × — = — or 1

1 2 2

Answer:

13,693

Step-by-step explanation:

3 years x 12 months a year = 36 months.

322 per month x 36 months = 11,592

+

the 2,101 down payment

=

13,693

Using compound interest, it is found that:

a) He will have paid $18,774 in total.

b) He paid $4,774 more than the price of the car.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are:

[tex]P = 14000, r = 0.049, n = 12, t = \frac{72}{12} = 6[/tex].

Item a:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(6) = 14000\left(1 + \frac{0.049}{12}\right)^{12 \times 6}[/tex]

[tex]A(6) = 18774[/tex]

He will have paid $18,774 in total.

Item b:

18774 - 14000 = $4,774.

He paid $4,774 more than the price of the car.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

drop-leaves 38 in "U SE 22 1 19 0 o Let the center of the table be O and the chord of length 38 in.be AB Drop a perpendicular from to AB meeting it at C. Since the diameter of the circle is 44 in., the radius of the circle must be 22 in. and thus, OA= = in. By the definition of the sine function, AC sin 500-Twice that gives ZAOB, so the area of OA sector AOB is about in and the area of AAOB is 1 OA. OB sin 20-in? Subtracting the area of the triangle from the area of the sector shows that the area of the segment bounded by chord AB is about in (Type integers or decimals rounded to four decimal places as needed.) 19 22 B 2

Step-by-step explanation: i really  hope this is what your looking for, and helps!! love you have an amazing day:)) -marina mae

The area of the center section when the leaves are down is evaluated being of 932.84 in.²

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The simplified figure is attached below.

We need to find the area PQRS.

Area(PQRS) = 4(Area(DOQ) + Area(QOB)) (by symmetry.

The line OD and OT are perpendiculars on those 38 inch chords, and therefore D and T are bisecting them(by a theorem that perpendicular from center of a circle to its chords bisect them).

Using Pythagoras theorem, we get:
[tex]|DO| = \sqrt{|OQ|^2 -|DQ|^2 } = \sqrt{22^2 - 19^2} = \sqrt{123}[/tex]

Thus, we get:

[tex]\text{Area DOQ} = \dfrac{1}{2} \times 19 \times \sqrt{123} \approx 105.36 \: \rm in^2[/tex]

Since angle ∠DQO and ∠QOB are alternate interior angle, they are of same measure.

From triangle DOQ, from the perspective of ∠DQO, we get the sine ration as:

[tex]\sin(m\angle DQO) = \dfrac{|DO|}{|OQ|}\\m\angle DOQ = \sin^{-1}\left( \dfrac{\sqrt{123}}{22}\right) \approx 30.27^\circ \: \text{(chose acute angle)}[/tex]

Thus, we get:
[tex]m\angle QOB \approx 30.27^\circ[/tex]

360 degrees cover full area of circle,

1 degree will cover full area /360 of the circle

Thus, we get:

Aera of the sector QOB = Area covered by central angle ∠QOB[tex]\approx 30.27 \times \dfrac{\pi (22)^2}{360} \approx 127.85 \: \rm in^2[/tex]

Thus, as we have:

Area(PQRS) = 4(Area(DOQ) + Area(QOB))

we get:

Area(PQRS) ≈ 4(105.36 + 127.85) ≈ 932.84 in.²

Thus, the area of the center section when the leaves are down is evaluated being of 932.84 in.²

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Answer:

B)

Step-by-step explanation:

[tex]\textsf{2 is a rational number as }2=\dfrac21[/tex]

[tex]\sqrt{3} \textsf{ is an irrational number}[/tex]

[tex]2\sqrt{3} \textsf{ is an irrational number}[/tex]